38633 has 4 divisors (see below), whose sum is σ = 44160. Its totient is φ = 33108.

The previous prime is 38629. The next prime is 38639. The reversal of 38633 is 33683.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33683 = 13 ⋅2591.

It is a cyclic number.

It is not a de Polignac number, because 38633 - 2² = 38629 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 38599 and 38608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2753 + ... + 2766.

It is an arithmetic number, because the mean of its divisors is an integer number (11040).

2³⁸⁶³³ is an apocalyptic number.

It is an amenable number.

38633 is a deficient number, since it is larger than the sum of its proper divisors (5527).

38633 is an equidigital number, since it uses as much as digits as its factorization.

38633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526.

The product of its digits is 1296, while the sum is 23.

The square root of 38633 is about 196.5527918906. The cubic root of 38633 is about 33.8054051088.

Subtracting from 38633 its reverse (33683), we obtain a triangular number (4950 = T₉₉).

The spelling of 38633 in words is "thirty-eight thousand, six hundred thirty-three".